A bag contains 14 balls of which x are white. if 6 more white balls are added to the back, the probability of drawing a white ball is 1/2. find the value of x
Answers
Answer:
Probability= (Number of favourable events) / (total number of events).
In the bag, there are 14 balls initially & 6 white balls are added. We assume that no other color balls are added. Total number of balls will be (14 + 6) = 20.
The probability of white balls after adding 6 white balls is 1/2.
1/2= number of white balls / 20.
Number of white balls = (1/2) * 20 = 10.
Earlier the bag had “x”, white balls, after adding 6 white balls there are 10 white balls.
(x+6)=10.
x = 10–6=4.
Answer: Value of x=4.
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10
Step-by-step explanation:
Given,
a bag contains 14 balls of which x are white
if 6 more white balls added to the bag
then the probability of white is 1/2
then, x=?,
the total number of balls =14+6=20
half of 20 is 10
then x is 10